On the First Order Secular Perturbations of an Artifical Satellite in the Gravitational Field of the Oblate Earth

Details On the First Order Secular Perturbations of an Artifical Satellite in the Gravitational Field of the Oblate Earth On the First Order Secular Perturbations of an Artifical Satellite in the Gravitational Field of the Oblate Earth

Jan 1958

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1958cokon..43....1i&link_type=abstract

Communications of the Konkoly Observatory, No. 43 (Vol. IV, 1), p. 1-13 (1958).

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Artifical Satellites

Scientific paper

Some interesting theoretical problems have arisen concerning the revolution of artificial satellites around the Earth. This kinematic phenomenon could only be described accurately by Kepler's well-known laws if no force other than the gravitational attraction of an Earth of spherically symmetrical mass-distribution acted upon the artificial satellite. It is obvious, however, that in the case of a celestial body moving in the proximity of the Earth's surface neither air resistance, nor the correction of the gravitational field due to the oblateness of the Earth may be neglected. At greater distances, on the other hand, the attraction of the Moon and the Sun must be taken into account. While the theory of perturbations due to air resistance is easily accessible in past astronomical literature, the problem of the perturbations caused by oblateness has only recently arisen in the general form needed in our case. In the present paper, after a comparison of the gravitational forces to be taken into account, the first order secular perturbations of an artificial satellite due to the oblateness of the Earth shall be determined for an arbitrary inclination and excentricity of its orbit.

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